Timeline for Approaches to Riemann hypothesis using methods outside number theory
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Aug 7, 2010 at 5:57 | comment | added | Junkie | The relevant part of $F_1$ and RH appears as: Weil's RH proof for curves over fin. fields started with $C/k$, took its product $C \times_k C$, and then examined its diagonal. If the integers were a curve over a field, the same proof would prove the RH. The integers $Z$ are 1-dim, which suggests that they may be a curve, but they are not an algebra over any field. One of the conjectured properties of $F_1$ is that $Z$ should be an $F_1$-algebra. This would make it possible to construct the product $Z \times_{F_1} Z$, and it is hoped that RH for $Z$ can be proved in the same way as RH for $C/k$ | |
| Aug 6, 2010 at 16:40 | comment | added | Anweshi | I wanted to know about approaches that were not already known to me. Besides some overly strict people are raising objection to the question itself as being subjective and argumentative, in the comments over there. I was in fear of the question getting closed and so steered away from anything with any hint of speculation. Note that by such fears I already CW-ed the question. | |
| Aug 6, 2010 at 15:26 | comment | added | Felipe Voloch | But if F_1 is the most interesting approach to RH currently available (as it appears to be the consensus) why not discuss it? | |
| Aug 6, 2010 at 13:37 | comment | added | Anweshi | I already mentioned the field with one element in thecquestion itself and it was with the hopes that the answers will not spend time on that topic. | |
| Aug 6, 2010 at 2:24 | history | edited | Felipe Voloch | CC BY-SA 2.5 |
added 15 characters in body
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| Aug 6, 2010 at 2:18 | history | answered | Felipe Voloch | CC BY-SA 2.5 |